Least Common Multiple of 19/24, 363/20, 947/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/24, 363/20, 947/261 quickly i.e. 6531459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/24, 363/20, 947/261 is 6531459.

LCM(19/24, 363/20, 947/261) = 6531459

LCM of 19/24, 363/20, 947/261

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 19/24,363/20,947/261

Given numbers are 19/24,363/20,947/261

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 19,363,947

Least Common Multiple of Numerators i.e. LCM of 19,363,947 is 6531459.

GCF of Denominators means GCF of 24,20,261 as per the given fractions.

GCF of 24,20,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,363,947

LCM of Fractions 19/24,363/20,947/261 is 6531459

Given numbers has no common factors except 1. So, there LCM is their product i.e 6531459

Least Common Multiple of 19,363,947 with GCF Formula

Least Common Multiple of 19,363,947 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 19,363,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,363,947) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,363,947) x common factors =1 x 1 = 1

LCM(19,363,947) = ( 19 × 363 × 947 ) / 1

LCM(19,363,947) = 6531459 / 1

LCM(19,363,947) = 6531459


Lets's calculate GCF of 24,20,261

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6531459/1

Therefore the LCM of Fractions 19/24,363/20,947/261 is 6531459

Greatest Common Factor of 24,20,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,20,261 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 24,20,261 . The biggest common factor number is the GCF number.
So the greatest common factor 24,20,261 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 19/24, 363/20, 947/261

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 19/24, 363/20, 947/261?

Answer: LCM of Numerators as per given numbers 19/24, 363/20, 947/261 is

LCM of Numerators i.e. for 19,363,947 is 6531459

GCF of denominators i.e. for 24,20,261 is 1.

Thus, LCM of Fractions is 6531459.Finally, LCM of Fractions for 19/24, 363/20, 947/261 is 6531459.